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A211997
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Smallest prime with at least n 1's when written in binary.
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2
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2, 3, 7, 23, 31, 127, 127, 383, 991, 2039, 3583, 6143, 8191, 63487, 63487, 129023, 131071, 522239, 524287, 1966079, 4128767, 14680063, 14680063, 33546239, 67108351, 201064447, 260046847, 536739839, 1073479679, 2147483647, 2147483647, 8581545983, 16911433727, 32212254719
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OFFSET
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1,1
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COMMENTS
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In contrast to the more vague statement in A061712, the existence of every term of this sequence follows from the Sierpinski theorems (see reference, point 28).
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REFERENCES
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Ernst Trost, Primzahlen, Birkhäuser-Verlag, 1953.
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LINKS
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FORMULA
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CROSSREFS
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KEYWORD
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nonn,base
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AUTHOR
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STATUS
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approved
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